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Finding the Third Proportional to 335,442 and 729,936

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Solution

The third proportional to 335,442 and 729,936 is: 1,588,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,442 : 729,936 = 729,936 : x
  2. Step 2: Convert to fraction form
    335,442/729,936 = 729,936/x
  3. Step 3: Cross multiply
    335,442x = 729,936 × 729,936
  4. Step 4: Simplify right side
    335,442x = 532,806,564,096
  5. Step 5: Solve for x
    x = 532,806,564,096/335,442
  6. Step 6: Final answer
    x = 1,588,371.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.